M12817759 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

384C037A48FF4638

verified PRP

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	2.3182	64.1791%	400000	428459850	14.0501	9.9971%	16.3683	67.7602%	3.5811%
PrimeNet	2⁶⁴	0.2777	62.5000%	60000	1700000	0.0885	4.3284%	0.3661	64.1231%	1.6231%
GPU72	2⁶⁸	4.6502	64.7059%	90000	2400000	0.1278	3.1623%	4.7780	65.8220%	1.1161%
Difference	-1	-2.3320	-0.5268%	+310000	+426059850	+13.9223	+6.8349%	+11.5903	+1.9382%	+1.9382%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

2.3182

64.1791%

400000

428459850

14.0501

9.9971%

16.3683

67.7602%

3.5811%

PrimeNet

2⁶⁴

0.2777

62.5000%

60000

1700000

0.0885

4.3284%

0.3661

64.1231%

1.6231%

GPU72

2⁶⁸

4.6502

64.7059%

90000

2400000

0.1278

3.1623%

4.7780

65.8220%

1.1161%

Difference

-1

-2.3320

-0.5268%

+310000

+426059850

+13.9223

+6.8349%

+11.5903

+1.9382%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12817759	820336577	9	29.612	32 2⁵	-	32	32	5.618e-12	1.895e-5	3.857e-5
12817759	33838883761	11	34.978	1320 2³ × 3 × 5 × 11	2008-09-08	8	11	2.296e-10	4.835e-6	9.643e-6
12817759	179551168073	12	37.386	7004 2² × 17 × 103	2008-09-08	17	103	2.166e-9	1.284e-5	2.049e-5

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

12817759

820336577

29.612

32
2⁵

5.618e-12

1.895e-5

3.857e-5

12817759

33838883761

34.978

1320
2³ × 3 × 5 × 11

2008-09-08

2.296e-10

4.835e-6

9.643e-6

12817759

179551168073

37.386

7004
2² × 17 × 103

2008-09-08

103

2.166e-9

1.284e-5

2.049e-5

exponent	prime factors	composite factor	digits	bits*
12817759	820336577 33838883761	27759274073999626097	20	64.590
12817759	820336577 179551168073	147292390613356506121	21	66.997
12817759	33838883761 179551168073	6075811105574021362553	22	72.364
12817759	820336577 33838883761 179551168073	4984210084845178304681604001081	31	101.975

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-04-21T06:51:57	nordi	sweet16_30.8b14	400000	400000		-	skipped known factor: 820336577 skipped known factor: 33838883761 skipped known factor: 179551168073	-	-	0.237	-	-	2.429%
2022-05-12T00:17:28	nordi	sweet16_30.8b14	400000	428459850		-	skipped known factor: 820336577 skipped known factor: 33838883761 skipped known factor: 179551168073	-	-	14.05	-	-	9.997%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T08:39:00	Will Edgington	Manual testing	?	?	179551168073	37.386	12	7.37099e-10	10.93	1.53911e-9
2008-09-08T08:39:00	Will Edgington	Manual testing	?	?	33838883761	34.978	11	5.10156e-11	10.93	1.06524e-10

PRP results:

date

userid

compid

cofactors

res64

PRP

2022-05-13T17:55:29

XZT

3050Micro3

820336577

33838883761

179551168073

384C037A48FF4638

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 400000, B2 = 428459850 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront